GCD of 514, 216, 680, 955 Calculator

Given Input numbers are 514, 216, 680, 955

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 514, 216, 680, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 216, 680, 955 is 1.

Therefore, GCD of numbers 514, 216, 680, 955 is 1

Given Input Data is 514, 216, 680, 955

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 514 is 2 x 257

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 955 is 5 x 191

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(514, 216) = 55512

GCD(514, 216) = ( 514 x 216 ) / 55512

GCD(514, 216) = 111024 / 55512

GCD(514, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

GCD of 514, 216, 680, 955 is 1

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• GCD of 435, 395, 929, 876
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1. What is the GCD of 514, 216, 680, 955?

GCD of 514, 216, 680, 955 is 1

2. Where do I get the detailed procedure to find GCD of 514, 216, 680, 955?

You can find a detailed procedure to find GCD of 514, 216, 680, 955 on our page.

3. How to find GCD of 514, 216, 680, 955 on a calculator?

You can find the GCD of 514, 216, 680, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.